Observing that the backward state equation, the relation can be built equivalently when the generators \(g\)  between those in [1]} and [2]} exist a minus sign. Therefore, in the local case, Theorem 2 of [1]} is equivalent to Theorem 4.4 of [2]}. That is, our theorem REF  can reduce to Theorem 4.4 of [2]} in the case of convex control domain.

